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Physical constructions of kink, anti-kink optical solitons and other solitary wave solutions for the generalized nonlinear Schrödinger equation with cubic–quintic nonlinearity

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Abstract

Extremely short pulse propagation in optical fiber is modelled via using the higher order nonlinear Schrödinger equation (NLSE) with cubic quintic nonlinearity. To construct singular bright, kink, and anti-kink solitons, periodic waves as well as multi-peak and breather type waves of generalized NLSE in a cubic quintic non-Kerr medium, we used a generalised exponential approach. In physics and applied mathematics, the obtained solutions have significant applications. We have also discussed the solitary wave parameters under which dark and bright solitons may develop in this medium. In order to visualise the physical phenomena of this model, we have provided a graphic representation of the movements of the created solitary wave and soliton solutions. This reliable, effective, and successful strategy may also be used to solve many other similar sorts of models that arise in applied sciences.

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Authors and Affiliations

  1. Institute of Applied System Analysis, Jiangsu University, Zhenjiang, Jiangsu, People’s Republic of China

    Jun Wang & Khurrem Shehzad

  2. Department of Mathematics and statistics, University of Agriculture Faisalabad, Faisalabad, Pakistan

    Khurrem Shehzad & Muhammad Arshad

  3. Department of Mathematics and statistics, Sub-Campus Depalpur, University of Agriculture Faisalabad, Faisalabad, Pakistan

    Muhammad Arshad

  4. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawwarah, Kingdom of Saudi Arabia

    Aly R. Seadawy

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  1. Jun Wang
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  2. Khurrem Shehzad
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  3. Muhammad Arshad
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  4. Aly R. Seadawy
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Correspondence to Aly R. Seadawy.

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Wang, J., Shehzad, K., Arshad, M. et al. Physical constructions of kink, anti-kink optical solitons and other solitary wave solutions for the generalized nonlinear Schrödinger equation with cubic–quintic nonlinearity. Opt Quant Electron 56, 758 (2024). https://doi.org/10.1007/s11082-024-06481-w

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